Details

Time bar (total: 11.7s)

sample20.0ms

Algorithm
intervals
Results
8.0ms276×body80valid
1.0ms5×body1280valid
0.0ms3×body640valid

simplify87.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0911
1199
2457
3727
4837
5847
done847

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 20.0 (+ 10.0 d2))
0.0b
(* d1 (+ 20.0 (+ 10.0 d2)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
7×add-sqr-sqrt add-log-exp
6×distribute-lft-out
5×add-cube-cbrt associate-*r*
4×pow1 add-exp-log add-cbrt-cube
3×fma-def associate-*l* sum-log
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
32.0ms
(+ 20.0 (+ 10.0 d2))
88.0ms
(* d1 (+ 20.0 (+ 10.0 d2)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ 20.0 (+ 10.0 d2))
64.0ms
(* d1 (+ 20.0 (+ 10.0 d2)))

simplify2.0s

Counts
52 → 52
Iterations

Useful iterations: 3 (873.0ms)

IterNodesCost
069420
1191402
2662364
33203361
done5000361

prune90.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ (+ 20.0 10.0) d2))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 26
Calls
1 calls:
79.0ms
(* d1 (+ (+ 20.0 10.0) d2))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* d1 (+ (+ 20.0 10.0) d2))

simplify1.9s

Counts
29 → 29
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
052269
1151259
2567228
32925228
done5002228

prune50.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* d1 (sqrt (+ (+ 20.0 10.0) d2)))
0.2b
(* (* d1 (sqrt (+ (+ 20.0 10.0) d2))) (sqrt (+ (+ 20.0 10.0) d2)))

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×associate-*r*
14×sqrt-div
11×add-sqr-sqrt sqrt-prod
10×associate-*r/
9×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt flip3-+ flip-+
6×distribute-lft-out
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u associate-*l/ *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 61
Calls
2 calls:
115.0ms
(* d1 (sqrt (+ (+ 20.0 10.0) d2)))
179.0ms
(* (* d1 (sqrt (+ (+ 20.0 10.0) d2))) (sqrt (+ (+ 20.0 10.0) d2)))

series136.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* d1 (sqrt (+ (+ 20.0 10.0) d2)))
51.0ms
(* (* d1 (sqrt (+ (+ 20.0 10.0) d2))) (sqrt (+ (+ 20.0 10.0) d2)))

simplify2.8s

Counts
67 → 67
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01201163
1308894
2964784
34424769
done5000769

prune163.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))
0.0b
(* (+ 10.0 d2) (+ 10.0 d2))
4.5b
(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
11.0b
(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
8×associate-*r* distribute-lft-out
7×associate-*l*
6×flip3-+ times-frac associate-*r/ swap-sqr associate-/r* flip-+ add-log-exp
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u frac-times flip3-- flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
3×sub-neg prod-diff prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ associate--r+ unswap-sqr
1×pow2 frac-2neg pow-plus fma-neg diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 123
Calls
4 calls:
17.0ms
(- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))
53.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
29.0ms
(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
59.0ms
(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

series273.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))
26.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
91.0ms
(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
133.0ms
(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

simplify2.0s

Counts
135 → 135
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01932285
15322119
220901840
done50001583

prune430.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

end0.0ms

sample914.0ms

Algorithm
intervals
Results
558.0ms9031×body80valid
11.0ms55×body1280valid
10.0ms51×body640valid
2.0ms20×body320valid
1.0ms15×body160valid